Immersed hyperbolic and parabolic screw motion surfaces in the space \(\widetilde{\mathrm{PSL}}_{2}(\mathbb R,\tau)\)
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Publication:744920
DOI10.1007/S10711-015-0058-8zbMATH Open1325.53074OpenAlexW2047883812MaRDI QIDQ744920
Albetã Costa Mafra, Carlos Peñafiel, Qing Cui
Publication date: 12 October 2015
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10711-015-0058-8
Differential geometry of homogeneous manifolds (53C30) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)
Cites Work
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- A Hopf differential for constant mean curvature surfaces in \(\mathbb S^2 \times \mathbb R\) and \(\mathbb H^2 \times\mathbb R\)
- Screw motion surfaces in \(\mathbb H^2 \times \mathbb R\) and \(\mathbb S^2\times \mathbb R\)
- Uniqueness of \(H\)-surfaces in \(\mathbb H^2 \times \mathbb R\), \(|H|\leq 1/2\), with boundary one or two parallel horizontal circles
- General curvature estimates for stable H-surfaces in 3-manifolds applications
- Invariant surfaces of the Heisenberg groups
- Invariant surfaces in \(\widetilde{\mathrm{PSL}}_{2}(\mathbb R, \tau)\) and applications
- Graphs and multi-graphs in homogeneous 3-manifolds with isometry groups of dimension 4
- PARABOLIC AND HYPERBOLIC SCREW MOTION SURFACES IN ℍ2×ℝ
Related Items (3)
Screw motion surfaces in \(\mathbb H^2 \times \mathbb R\) and \(\mathbb S^2\times \mathbb R\) ⋮ Graph Surfaces Invariant by Parabolic screw Motions with Constant Curvature in $ \: \mathbb H^2 \times \mathbb R$ ⋮ Screw motion surfaces in \(\widetilde{PSL}_2 (\mathbb{R}, \tau)\)
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